虞斌, 易青. 一类无界域上非线性二阶椭圆方程粘性解的存在性[J]. 南昌航空大学学报(自然科学版), 2011, 25(1): 74-77.
引用本文: 虞斌, 易青. 一类无界域上非线性二阶椭圆方程粘性解的存在性[J]. 南昌航空大学学报(自然科学版), 2011, 25(1): 74-77.
shu
YU Bin, YI Qing. On the Existence of Viscosity Solutions of a Class of Nonlinear Second-order Elliptic Equations on Unbounded Domains[J]. Journal of nanchang hangkong university(Natural science edition), 2011, 25(1): 74-77.
Citation: YU Bin, YI Qing. On the Existence of Viscosity Solutions of a Class of Nonlinear Second-order Elliptic Equations on Unbounded Domains[J]. Journal of nanchang hangkong university(Natural science edition), 2011, 25(1): 74-77.
shu

一类无界域上非线性二阶椭圆方程粘性解的存在性

On the Existence of Viscosity Solutions of a Class of Nonlinear Second-order Elliptic Equations on Unbounded Domains

    摘要
  • 摘要: 文章考虑一类无界域上非线性二阶椭圆方程狄利克雷问题,证明了比较原理,通过构造上、下解,并利用Perron方法证明了该问题粘性解的存在性与唯一性.

     

    Abstract: In this paper,the comparison principle for Dirichlet problem of a class of second-order nonlinear elliptic equations on unbounded domains is proved.Furthermore,the existence and uniqueness of viscosity solution of the problem are proved by constructing subsolution and supersolution together by applying Perron's method.

     

    • HTML全文
    • 参考文献(3)
    • 相关文章
    • 施引文献
  • 资源附件(0)

/

返回文章
返回